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Simplifying c(c + -12) = -36 Reorder the terms: c(-12 + c) = -36 (-12 * c + c * c) = -36 (-12c + c2) = -36 Solving -12c + c2 = -36 Solving for variable 'c'. Reorder the terms: 36 + -12c + c2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -12c + c2 = 0 Factor a trinomial. (6 + -1c)(6 + -1c) = 0Subproblem 1
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {6, 6}
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